{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pulse Shaping\n",
    "\n",
    "This chapter covers pulse shaping, inter-symbol-interference, matched filtering, and raised-cosine filters. At the end we use Python to add pulse shaping to BPSK symbols. You can consider this section Part II of the Filters chapter, where we take a deeper dive into pulse shaping.\n",
    "\n",
    "# Inter-Symbol-Interference (ISI)\n",
    "\n",
    "In the Filters chapter we learned that blocky-shaped symbols/pulses use an excess amount of spectrum, and we can greatly reduce the amount of spectrum used by “shaping” our pulses. However, you can’t use just any low-pass filter or you might get inter-symbol-interference (ISI), where symbols bleed into and interfere with each other.\n",
    "\n",
    "When we transmit digital symbols, we transmit them back-to-back (as opposed to waiting some time between them). When you apply a pulse-shaping filter, it elongates the pulse in the time domain (in order to condense it in frequency), which causes adjacent symbols to overlap with each other. The overlap is fine, as long as your pulse-shaping filter meets this one criterion: all of the pulses must add up to zero at every multiple of our symbol period T, except for one of the pulses. The idea is best understood through the following visualization:\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/pulse_train.svg)\n",
    "\n",
    "As you can see at every interval of T, there is one peak of a pulse while rest of the pulses are at 0 (they cross the x-axis). When the receiver samples the signal, it does so at the perfect time (at the peak of the pulses), meaning that is the only point in time which matters. Usually there is a symbol synchronization block at the receiver that ensures the symbols are sampled at the peaks."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matched Filter\n",
    "\n",
    "One trick we use in wireless communications is called matched filtering. To understand matched filtering you must first understand these two points:\n",
    "\n",
    "1. The pulses we discussed above only have to be aligned perfectly at the receiver prior to sampling. Until that point it doesn’t really matter if there is ISI, i.e., the signals can fly through the air with ISI and it’s OK.\n",
    "\n",
    "2. We want a low-pass filter in our transmitter to reduce the amount of spectrum our signal uses. But the receiver also needs a low-pass filter to eliminate as much noise/interference next to the signal as possible. As a result, we have a low-pass filter at the transmitter (Tx) and another at the receiver (Rx), then sampling occurs after both filters (and the wireless channel’s effects).\n",
    "\n",
    "What we do in modern communications is split the pulse shaping filter equally between the Tx and Rx. They don’t have to be identical filters, but, theoretically, the optimal linear filter for maximizing the SNR in the presence of AWGN is to use the same filter at both the Tx and Rx. This strategy is called the “matched filter” concept."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Splitting a Filter in Half\n",
    "\n",
    "To split a filter in half you can take the square root of the frequency response.\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/math/7e7d6f2cb6946f45a7252e5229da937c2571556b.svg)\n",
    "\n",
    "Below shows a simplified diagram of a transmit and receive chain, with a Raised Cosine (RC) filter being split into two Root Raised Cosine (RRC) filters; the one on the transmit side is the pulse shaping filter, and the one on the received side is the matched filter. Together, they cause the pulses at the demodulator to appear as if they had been pulse shaped with a single RRC filter.\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/splitting_rc_filter.svg)\n",
    "\n",
    "We know that we want to:\n",
    "\n",
    "1. Design a filter that reduces the bandwidth of our signal (to use less spectrum) and all pulses except one should sum to zero every symbol interval.\n",
    "\n",
    "2. Split the filter in half, putting one half in the Tx and the other in the Rx.\n",
    "Let’s look at some specific filters that are common to use for pulse-shaping."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Raised-Cosine Filter\n",
    "\n",
    "The most popular pulse-shaping filter seems to be the “raised-cosine” filter. It’s a good low-pass filter for limiting the bandwidth our signal will occupy, and it also has the property of summing to zero at intervals of T:\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/raised_cosine.svg)\n",
    "\n",
    "Note that the above plot is in the time domain. It depicts the impulse response of the filter. The \\beta parameter is the only parameter for the raised-cosine filter, and it determines how quickly the filter tapers off in the time domain, which will be inversely proportional with how quickly it tapers off in frequency:\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/raised_cosine_freq.svg)\n",
    "\n",
    "The reason it’s called the raised-cosine filter is because the frequency domain when \\beta = 1 is a half-cycle of a cosine wave, raised up to sit on the x-axis.\n",
    "\n",
    "The equation that defines the impulse response of the raised-cosine filter is:\n",
    "\n",
    "![Alt text](<Screenshot 2024-01-12 154821.png>)\n",
    "\n",
    "Remember: we split this filter between the Tx and Rx equally. Enter the Root Raised Cosine (RRC) Filter!"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Root Raised-Cosine Filter\n",
    "\n",
    "The root raised-cosine (RRC) filter is what we actually implement in our Tx and Rx. Combined they form a normal raised-cosine filter, as we discussed. Because splitting a filter in half involves a frequency-domain square root, the impulse response gets a bit messy:\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/rrc_filter.png)\n",
    "\n",
    "Luckily it’s a heavily used filter and there are plenty of implementations, including in Python.\n",
    "\n",
    "# Python Exercise\n",
    "\n",
    "As a Python exercise let’s filter and shape some pulses. We will use BPSK symbols so that it’s easier to visualize–prior to the pulse-shaping step, BPSK involves transmitting 1’s or -1’s with the “Q” portion equal to zero. With Q equal to zero we can plot the I portion only, and it’s easier to look at.\n",
    "\n",
    "In this simulation we will use 8 samples per symbol, and instead of using a square-wave looking signal of 1’s and -1’s, we use a pulse train of impulses. When you put an impulse through a filter, the output is the impulse response (hence the name). Therefore if you want a series of pulses, you want to use impulses with zeros in between to avoid square pulses."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAGdCAYAAAAfTAk2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABwVUlEQVR4nO2de3xU1bn3f3sumSRiCMglRLmKFaggCjXG2tZKBIynx9trpaVHpQqvl5yqsVXwVBRQ0Wqtl0PLW+/9qMXao9ZSiqQoeqwIiqKiiKAoKklQaRJIyMxkZr9/TPaePfc9yV47aw2/7+fDR7Nnz5611n7WWs961rOeR9N1XQchhBBCSAHh6esCEEIIIYQ4DRUcQgghhBQcVHAIIYQQUnBQwSGEEEJIwUEFhxBCCCEFBxUcQgghhBQcVHAIIYQQUnBQwSGEEEJIweHr6wL0BdFoFLt378ahhx4KTdP6ujiEEEIIsYGu69i3bx8qKyvh8WS30RyUCs7u3bsxfPjwvi4GIYQQQnrAZ599hiOOOCLrPQelgnPooYcCiDVQWVmZo88Oh8NYs2YNpk+fDr/f7+izZYF1LAxYx8KAdSwMWEd7tLW1Yfjw4eY8no2DUsExtqXKysqEKDilpaUoKysraCFlHdWHdSwMWMfCgHXMDzvuJXQyJoQQQkjBQQWHEEIIIQUHFRxCCCGEFBxUcAghhBBScFDBIYQQQkjBQQWHEEIIIQUHFRxCCCGEFBxUcAghhBBScFDBIYQQQkjBIVTBefnll/GDH/wAlZWV0DQNzz77bM7vrFu3DscffzwCgQDGjh2LRx55JOWeZcuWYdSoUSguLkZVVRU2btzofOEJIYQQoixCFZz29nYce+yxWLZsma37d+7ciTPOOAPf//73sXnzZlx11VW45JJL8Pzzz5v3PPnkk6ivr8eNN96IN998E8ceeyxmzJiBPXv2iKoGIY7S2HoAr370FRpbD/R1UQqextZObG/V0Nja2ddFyQvKiHuwrQsXobmoTj/9dJx++um271++fDlGjx6NX//61wCA8ePH45VXXsFvfvMbzJgxAwBw1113Ye7cuZgzZ475nb/97W946KGHMH/+fOcrQYiDPPn6Lix4+l1EdcCjAUvPmYjzvzWir4tVkMTb2ovfbn1ZmbamjLgH27qwkSrZ5vr161FTU5NwbcaMGbjqqqsAAKFQCJs2bcKCBQvMzz0eD2pqarB+/fqMzw0GgwgGg+bfbW1tAGKJv8LhsIM1gPk8p58rE6xjz2hs7TQHUwCI6sCCp99F9egBGNa/2LHfsUshv0fZ2touPSl3Ib9HA/bHwsCJOubzXakUnKamJgwdOjTh2tChQ9HW1oYDBw7gX//6FyKRSNp7Pvjgg4zPXbp0KRYtWpRyfc2aNSgtLXWm8Ek0NDQIea5MsI75sb1VQ1T3JlyL6sCfVr2Io/rrjv1OvhTie5S1rXPRm3IX4ntMhv2xMOhNHTs6OmzfK5WCI4oFCxagvr7e/LutrQ3Dhw/H9OnTUVZW5uhvhcNhNDQ04LTTTivolPesY/40tnZi2fsvwzp0ejTgh7Xf77MVY6G+x8bWTvx268vm6hzo27a2S09kpJDfo4Go/iiTjPA92sPYgbGDVApORUUFmpubE641NzejrKwMJSUl8Hq98Hq9ae+pqKjI+NxAIIBAIJBy3e/3CxMkkc+WBdYxP0YM8qNmwlA0vB+TX6+m4dZzjsGIQYc68vyeUojvccQgP66qOQp3NWwHEPev6Ou2zsWIQX6cOn4I1m6NHZrIR0YK8T0m43R//NmpR+HutXLJCN9j7u/aRao4ONXV1Vi7dm3CtYaGBlRXVwMAioqKMGXKlIR7otEo1q5da95DiMx8Y2g/87+vzP8+HRoFcuq4+Fb205eeqExbjx0Sk5FxFYdSRgRzyrgh5v//7WffYVsXGEIVnP3792Pz5s3YvHkzgNgx8M2bN2PXrl0AYltHF1xwgXn/pZdeio8//hjXXnstPvjgA/z2t7/Fn/70J1x99dXmPfX19bj//vvx6KOPYuvWrbjsssvQ3t5unqoiRGY6w1EAgN/rwbD+JX1cmsKmMxwx/7+sRCpjdVaC3TIS8FFGRGOVkf4lhW01ORgR2uvfeOMNfP/73zf/NvxgLrzwQjzyyCNobGw0lR0AGD16NP72t7/h6quvxj333IMjjjgCDzzwgHlEHADOP/98fPnll1i4cCGampowefJkrF69OsXxmBAZMQZU68BKxGAok8n/LztxGVGnzKpi7Yfsk4WHUAXnlFNOga5n9kZPF6X4lFNOwVtvvZX1uXV1dairq+tt8QhxHWPS4uQlHuuEFVSovU0Fp4sTrmhUVYKJPaTywSGk0Al2T1rBLg6morG2cVAhZcEot0pKmapY5UIlGSH2oIJDiIsYq8QgzeHCSdh+UEihpAXHPYK04BQ0VHAIcRFjlcjJSzzWNlbJvyK+jalOmVUlQUbYJwsOKjiEuIixYgxHdESi8kbULQSsq/OQQhYc6zZmNh9G0nusMsItwcKDCg4hLtLJPX/XSLTgqDN5GWXVdSAUUafcKpLgiM7+WHBQwSHERRKPpXLyEknCCRmFJi9VFTMVUXUbk9iDCg4hLqLqyR4VSTwho46ikLBtQhkRSmJbqyMjxB5UcAhxEVpw3ENV/4oExUyhcqsILTiFDRUcQlwkMbAYB1SRqBqlljLiHgz0V9hQwSHERYJcMbpG4nagOpNXkD44rmGVC/bHwoMKDiEuoet6woSl0qSrIioG+otEdYQj8aPh9MERS+IpKjVkhNiHCg4hLpE8gHLFKJbEXFRqtHWyTNCCIxZVtzGJPajgEOISyQ6jnLzEoqJ/RaqCw0lXJEzVUNhQwSHEJZK3G7j9IBYVEykmW/m4bSIWFWWE2IcKDiEukbxC5BFgsSQG+lOjrWnBcRcVrXzEPlRwCHGJ5Gi6KkXXVZGEtBiKKArJkyxlRCxMnVLYUMEhxCWSLTa04IhFxSi1KduYlBGhqBoMktiDCg4hLpFiwVHEqqAqKsaToQXHXRIiGbOtCw4qOIS4RIp/BQdUoSTGHFKjrVOVYDUUM1XhMfHChgoOIS7BY+LuomKyzdRtTE66otB1PSmSsRoyQuxDBYcQl0henatiVVCR5IjAqkxeqaEE1Ci3ioQiUehxEWF/LECo4BDiEin+FYpMuiqi6nYgj4m7B/tj4UMFhxCX4OTlHsltq8oJmdRJlzIiiuTtP7Z14UEFhxCXYJRa90hu266ojq6I/O3NLSr3SNcfdeueFVEeKjiEuISxQvR7tYS/ifMktzWghrJgWHAoI+JRVUaIfajgEOIShkm8f0lR998cTEVhKAplxX7LNfmVhc4kGaFfiDiMtjXaGmCfLDSo4BDiEsbqsH+Jr/tv+SdcVTHatqTIC6+md1+Tf/KijLiH0bb9Al54PVrCNVIYUMEhxCXiq3N/99/yT7iqYrRtwOeB32Nck3/yooy4R1xGvAj4PAnXSGFABYcQlzAGz/LS7u0HrhaFYbRtsd+q4Mg/eVFG3MNQJov9HhT7vbFrbO+CggoOIS5hmL/jq3MOpqIwfCmKfV5TwVFh+yFZRugTIg5jOzDg96LYtODILyPEPlRwCHGJuFNj9+SlgE+IqhiKQuIWlfztnSojnHBFYSgzAZ8HgW4LDvtkYeGKgrNs2TKMGjUKxcXFqKqqwsaNGzPee8opp0DTtJR/Z5xxhnnPRRddlPL5zJkz3agKIT2mkxYc1zAnL+sWlQLKQqqVjxOuKOLbmFYfHPllhNjHJ/oHnnzySdTX12P58uWoqqrC3XffjRkzZmDbtm0YMmRIyv1PP/00QqGQ+ffXX3+NY489Fuedd17CfTNnzsTDDz9s/h0IBMRVghAHCCatzjvDscBimqZl+xrpAcZKPGGLSgFlIVVGOOGKwtzG9HvjPjgKyAixj3ALzl133YW5c+dizpw5mDBhApYvX47S0lI89NBDae8fOHAgKioqzH8NDQ0oLS1NUXACgUDCfQMGDBBdFUJ6RbIFB4gl/CPOY91+8JnHxOVXFpJlRJUIzCrSadnGNCw4KsgIsY9QC04oFMKmTZuwYMEC85rH40FNTQ3Wr19v6xkPPvggZs2ahUMOOSTh+rp16zBkyBAMGDAAp556Km6++WYcdthhaZ8RDAYRDAbNv9va2gAA4XAY4XA432plxXie08+VCdaxZxwIGXE34uuK/R1BeCwKj5sU8nts74zVye/VTAtOe2dI+roeCHUBSJKRA0EcEsg8VBfyezQQUceObhkp8gIBX8yK2pcywveY3zPsIFTB+eqrrxCJRDB06NCE60OHDsUHH3yQ8/sbN27Eli1b8OCDDyZcnzlzJs455xyMHj0aH330Ea6//nqcfvrpWL9+Pbxeb8pzli5dikWLFqVcX7NmDUpLS/OslT0aGhqEPFcmWMf82NviBaBhy1uvQ4MXOjT87fkG9C/K+VWhFOJ7fG+XB4AHe3Z/jqJuXWHT5ndxSPM7fVquXOxtjcnI+2+9DmN4/tvqNehnQwcuxPeYjJN1fP/TmIzs/mwXWoIA4MEbb72D4sa3HfuNnsD3mJ2Ojg7b9wr3wekNDz74ICZOnIgTTjgh4fqsWbPM/584cSImTZqEI488EuvWrcO0adNSnrNgwQLU19ebf7e1tWH48OGYPn06ysrKHC1zOBxGQ0MDTjvtNPj9fbMyFw3r2DNuf/9loLMTp5z8bTzw4es4EI7i5O+dguEDxCjZuSjk97j579uALz7FUWNG4e0PPwEAjD16PGpPHtWn5crFrVteAoJBfP+7J+N32zYi1BXFd045FcP6F2f8TiG/RwMRdXzjbx8Au3dh/DeOxGd7D+CdvU04atwE1J400pHn5wvfoz2MHRg7CFVwBg0aBK/Xi+bm5oTrzc3NqKioyPrd9vZ2rFixAosXL875O2PGjMGgQYOwY8eOtApOIBBI64Ts9/uFCZLIZ8sC65gfhuPrISVFKPZ7cSAcRUT39HkbFuJ7DEVifjelAT+63SsQjkL6enZ2y0i/kiIEfB6EuqLo0jVb5S7E95iMk3UMGzJS5EdpoHvrRAIZ4XvM/V27CHUyLioqwpQpU7B27VrzWjQaxdq1a1FdXZ31u0899RSCwSB+8pOf5Pydzz//HF9//TWGDRvW6zITIgozcqqPpzZEY4bh96uZqiFAGRFOPJJxvK2DCsgIsY/wU1T19fW4//778eijj2Lr1q247LLL0N7ejjlz5gAALrjgggQnZIMHH3wQZ511Vorj8P79+/GLX/wCr732Gj755BOsXbsWZ555JsaOHYsZM2aIrg4hPcY8umw9lspTG0IIWmKcxCMZy60o6LqeJCPdsVkoI0KIt7U1VYPcMkLyQ7gPzvnnn48vv/wSCxcuRFNTEyZPnozVq1ebjse7du2Cx5OoZ23btg2vvPIK1qxZk/I8r9eLd955B48++ihaWlpQWVmJ6dOnY8mSJYyFQ6SlKxJFVzRmEk84lsrVuRBUTLZpVcACfg8CPsOqQBkRgdVaFu+PcssIyQ9XnIzr6upQV1eX9rN169alXDv66KOh63ra+0tKSvD88887WTxChGNdGRb7vWZoeNknXVUxLTg+D/ye2Fgi+1aPVZGJbWPSgiMS6zYmtwMLE+aiIsQFrCvDgM8TT+7HyUsIQXPyUifZplE+jxaL31Pso1+ISILpUjVILiMkP6jgEOIChgWnyOuBx6PFk/txxSiETgWTbca31bzQNA0BvxFdV+5yq4p1G5P9sTChgkOIC1iTPwKgBUcw8RMyHmUsOPHkj4aMcBtTJNZkm+yPhQkVHEJcwJrYz/pf2a0KqqJisk3KiLukT7ZJBaeQoIJDiAskr87NPX8OqEIw2rXIukUl+ercalEA4tY+yogYgpY+Ge+PVCYLCSo4hLiA9UgqEJ/E6F8hhk7L6tynyDFxawb02H8pIyKx+jyxPxYmVHAIcYG4OdyT8F+ekBGD1QenSJFj4p2Wk19AXEZkV8xUxSojjGRcmFDBIcQF4nFZurcf6EAqDGtEYOspKtmdjK2xewD64IjEGniz2BLoj/2xsKCCQ4gLWIOKARYLDk3ijpMQEdjnhU+L/b/sikKyBceMriu5YqYiyVGjuUVVmFDBIcQFrIk2AfDUhkASIgIrlGwzLiO04IjGKgsJUaMllxGSH1RwCHEBaxJFAJZUDZy8nMaweHg9GvxeT0KyzUwpYGQgWUYYm0UcwaTAm0y2WZhQwSHEBVJPyHD7QRTWCLUATAUHkHsLIkVGGF1XGJn6YySqoyvC9i4UqOAQ4gKpJ2RowRFFcjyZBAVH4vYOhhPLHffTohLsNJn6I0ArTiFBBYcQFwimhOHn9oMozCP53W3s1WIJLAG5lYX4FhVTNYgmuT8aFhyA7V1IUMEhxAU6w/TBcQsz0WZ3G2uaGhazzhQLjvxlVpXk/qhpGop4VLzgoIJDiAtYs1sDceuCzBYFVUn2r7D+v8wWs2TfIfppiSO5PwLWPkmFslCggkOIC2RancvsE6IqyatzQI3cX6m5qGjBEUWyv5P1/2WWEZIfVHAIcYF4dmvjhIz8E66qBNOtzhUI5BZkqgbXSPZ3Aqx9Ul4ZIflBBYcQFzBWjObkxUSKwlDdgsNkm+JJTn4LWPukvDJC8oMKDiEu0JmSbJPmcFFYkygaqLA6T93GlF8pU5Xk/hj7f24bFxpUcAhxgdRkm7Gu18XAYo4TT7Sp1uo8eRvTuq0mcwRmFUnuj4AaVj6SH1RwCHGB1GSb8YGVWxDOktaC41PBgpM+2SZAGXGa5P4IqOGnRfKDCg4hLpCcbJOBxcSh6gmZYIZkm7HPOOk6SVofHG4JFhxUcAhxAXPbpHvS8ngsgcW4YnSU5KSVgDWmjLxtnVxuv9cDb3cIZpnj96hIWhlRQAkm+UEFhxAXyL5twgHVSdIF+lPBgpPsZAxYUnpIXG4VydofJVaCSX5QwSHEBdKbxHlqQwTZjokHJVYU0kZgpl+IEOJRo9kfCxkqOIS4QLrAYuaeP7cfHCV9oD/1tqgAWnBEkZxsE7AkN2V/LBio4BAiGF3XM/iFyL9toiLJp5EA+du6KxJFVzR2FDxdbBaZT3+pSForH52MCw4qOIQIxmo1UM2qoCJmTqd0yTYlVRQ6E2QkPukWMeGmENJa+Rg5uuCggkOIYKwrwsTtB2PPn5OXk6R11pV8O9AqI+mdoznpOklWGWF/LBio4BAiGGNF6PVo8HvVSh+gIvFIxmmcdSVta6PMRT4PPN1HwwFOuqJIm2zTdESXU0ZI/rii4CxbtgyjRo1CcXExqqqqsHHjxoz3PvLII9A0LeFfcXFxwj26rmPhwoUYNmwYSkpKUFNTg+3bt4uuBiE9It3pGECN9AEqkjXZpqRtnUlGmHBTDFlPNUoqIyR/hCs4Tz75JOrr63HjjTfizTffxLHHHosZM2Zgz549Gb9TVlaGxsZG89+nn36a8PmvfvUr3HvvvVi+fDk2bNiAQw45BDNmzEBnZ6fo6hCSN+kmXOvftOA4S9pIxpKfRkq3ZRL7W+5yq0q2ZJvsj4WDcAXnrrvuwty5czFnzhxMmDABy5cvR2lpKR566KGM39E0DRUVFea/oUOHmp/puo67774bv/zlL3HmmWdi0qRJ+MMf/oDdu3fj2WefFV0dQvImmMbpFWCgP1Gk26KSPc9Qui2T2N9yn/5SlbiTMZNtFjI+kQ8PhULYtGkTFixYYF7zeDyoqanB+vXrM35v//79GDlyJKLRKI4//njceuut+OY3vwkA2LlzJ5qamlBTU2Pe379/f1RVVWH9+vWYNWtWyvOCwSCCwaD5d1tbGwAgHA4jHA73up5WjOc5/VyZYB3zY/+BEIDYAGp9nt8b87VoDzovh3Yo1Pd4INwFAPBpUbNuPi12BPtAKCJlfdsNGfEmykhRt4x0ZJGRQn2PVpyuo6HE+DQ9LiOebhkJd7E/CsKJOubzXaEKzldffYVIJJJggQGAoUOH4oMPPkj7naOPPhoPPfQQJk2ahNbWVtx555046aST8N577+GII45AU1OT+YzkZxqfJbN06VIsWrQo5fqaNWtQWlrak6rlpKGhQchzZYJ1tMcHLRoAL4IH2rFq1SrzetPnHgAevL9tO1Yd2Nbr3+kphfYe2w94AWh47Z//ix3d7nvvbN4EwIe9LW0J70AW3vtXTEY6O/anlZH3tn6IVe3px0yDQnuP6XCqjh2dMRl59X9fwrZuGdneGnsHX/+rb2WE7zE7HR0dtu8VquD0hOrqalRXV5t/n3TSSRg/fjz+3//7f1iyZEmPnrlgwQLU19ebf7e1tWH48OGYPn06ysrKel1mK+FwGA0NDTjttNPg9/sdfbYssI75Edi6B9i6GYMHlqO2tsq8/v6a7XipaSeOGDEKtbXjelvkvCnU93jNhgYAOmbUnIqBJV40NDTg5BOrcN97m+ALlKC29rt9XcQUvO81Ax+8jaGHDUBt7Qnm9XdWb8P/Nn+KI0aNRu3Mo9N+t1DfoxUn66jrOq5cH5tgT58+DYP6BQAAb33Wgv9+fyN8xaWorf1Or8ucL3yP9jB2YOwgVMEZNGgQvF4vmpubE643NzejoqLC1jP8fj+OO+447NixAwDM7zU3N2PYsGEJz5w8eXLaZwQCAQQCgbTPFiVIIp8tC6yjPcJ6bJuhpMib8KySQKz7haLo03YspPdojQjcryQAv1/r/v8iADFfFxnr2mXKiC+hfIcEYv8ftiEjhfQeM+FEHa0+NjEZiT3vkGI5ZITvMfd37SLUybioqAhTpkzB2rVrzWvRaBRr165NsNJkIxKJ4N133zWVmdGjR6OioiLhmW1tbdiwYYPtZxLiJumOpAJM7icCa0RgldJiZDwmThlxHGtbpk+2KaeMkPwRvkVVX1+PCy+8EFOnTsUJJ5yAu+++G+3t7ZgzZw4A4IILLsDhhx+OpUuXAgAWL16ME088EWPHjkVLSwvuuOMOfPrpp7jkkksAxE5YXXXVVbj55ptx1FFHYfTo0bjhhhtQWVmJs846S3R1CMmbzkwnZCSPzaIiyRGBu4wTVWYkYzkVhUzHxGWP36MiRlt6tLijP2A5sSapjJD8Ea7gnH/++fjyyy+xcOFCNDU1YfLkyVi9erXpJLxr1y54PPGB/1//+hfmzp2LpqYmDBgwAFOmTMGrr76KCRMmmPdce+21aG9vx7x589DS0oKTTz4Zq1evTgkISIgMpIvLAlhX55y8nMIaEVjTLJNX90o9EtXRFYnC53UlxqltgkmKmAGPiTtP0BKXyiojhjIZ6ooiGtUTIkoTNXHFybiurg51dXVpP1u3bl3C37/5zW/wm9/8JuvzNE3D4sWLsXjxYqeKSIgw0sVlAZhsUwSmJSRDzCEgtkLvJ5mCY2ZA96W34FBGnKMzTaJNIHEBEopEUexJfBdEPeTq5YQUIBmj1EruF6IiubZ6rPfIhJkBnRYc4WTuj3LLCMkfKjiECCYepTZ5i4rJNp0m01aPx6OhSGJrSJDpPFwjU3/0eT3wdm9Lsb0LAyo4hAgm07YJLTjOE2/r1O0FmfNRmRaclJN28pZZVTKdWAPklhGSP1RwCBGMOaBmcjKW0KKgKpksIUC8vWWcvOIykj6beIgy4himv1MaGZE9ZxnJDyo4hAgmk5Mxk/s5TzCDAykgt1O3uW2SwRGdMuIcmZLfAuyThQYVHEIEk9GpUWKLgqp0ZrHgyLwlmCmUAGOzOE9WGWGfLCio4BAimPgRYB4TF01cmUyzOjfaW0IH0vi2SXorH2MlOUc2HxxuGxcWVHAIEYxpEs+wOg92RaHruuvlKkTip6gyW3CCEkYFDmZ0MqYFx2kynaKKXeMWVSFBBYcQwWQyiVtXkFwxOkPWEzISH7nOJCPWCMzhiHzlVpGsVj4zNQbbuhCggkOIYDJNutbJTMZtExXJ5l8hswNp5mSbVIKdJmi2dZZTVBLKCMkfKjiECCaTSdxvDSwm4baJimSKJwPI7UBqpg9QLAKzimRKfgtYHNGpTBYEVHAIEUzQjkmck5cjBDM461qvyWgJicfvSSy3pmmUEYfJdGINsDqis60LASo4hAimM6tTo7x+ISpiz4IjX1tnCiVgvSZjuVVE1VACJH+o4BAiGDuh4WU82aMi9hxI5WvrzgzBIK3XKCPOkCmbOMDQDYUGFRxCBJPtWGqAq3NHyRQ1GrA6kMrV1rqum6kYaMERTzBLqgaZ03mQ/KGCQ4hAwpEoItFYjJt02yb0r3CWbP4VcQdSudraai3IFpuFfiHO0JklVUM82SaVyUKACg4hArEqLukcX5ncz1myHhOXNIhbgoyk3aKijDhJpuS31mvcDiwMqOAQIhDrpJTNv0K2SVdVsibb9MnpX2GUx+vR4Pdm9guhjDhDpsSmgLU/yiUjpGdQwSFEIFYHY03TUj6XOTaLithJpCjbVo/pGJ1mwgWs6RrkKreqMNnmwQMVHEIEkinRpgFPbThLfPshcxwc2VbnnVmcXgFrwk25yq0qwWynGrllXFBQwSFEIJkSbRpwxegsWRMpSppsM5jF6RXgyR6nYbLNgwcqOIQIJJs5HLDGOOGK0QlUTLaZS0aYPsBZsgVVDLCtCwoqOIQIJFuahth1rs6dJOvkJenqPNupHoBWBafJFgySR/ILCyo4hAgkHjU1+xYVLTjOkC0tRkDSODjZrE6x65QRJ4lHjc7iiM62Lgio4BAikExJFA14TNw5rBGBs4bhl2yLKpglu7X1OmWk93RZA28y+W3BQwWHEIF00snYNXJHBJazrbNtq1mvy+Y7pCKdisoI6RlUcAgRSK5j4nQydg7rpJQ1iJtkbZ0t0ab1umynv1TEKiNF6YIqcjuwoKCCQ4hAgjkcSHkE2DmsEYF9aSMCx9o61BWFruuuli0b2fJnWa/LtrWmIoaMFPk88HhSA29aHdFlkhHSM6jgECIQ0+k1k5MxQ8M7ht2IwIBcK/RgLhmhD45j5JSR7ncQ1YFwhAqO6lDBIUQg2SLrAtZTG5y8eovdmEOxe+Vp71wywlNUzpHrSL71HbBPqg8VHEIEkmt1zuR+zpEt0SYA+L0eeLu3JWRSFrJF1o1dpwXHKXKdWEtUguWREdIzXFFwli1bhlGjRqG4uBhVVVXYuHFjxnvvv/9+fOc738GAAQMwYMAA1NTUpNx/0UUXQdO0hH8zZ84UXQ1C8iZbULHYdfrgOEUuCw5g3RKUp71zbZuYflq0KPSaeFunlxFN03hUvIAQruA8+eSTqK+vx4033og333wTxx57LGbMmIE9e/akvX/dunX40Y9+hBdffBHr16/H8OHDMX36dHzxxRcJ982cORONjY3mvz/+8Y+iq0JI3uQMw8/AYo6Ra/sBkPPIdc5Ixj75yqwqQTtKMLeNCwbhCs5dd92FuXPnYs6cOZgwYQKWL1+O0tJSPPTQQ2nvf/zxx3H55Zdj8uTJGDduHB544AFEo1GsXbs24b5AIICKigrz34ABA0RXhZC8yZa5GGBoeCfJZS0D5AzkljOUgJlxXp4yq0quqNGAdUuQCqXq+EQ+PBQKYdOmTViwYIF5zePxoKamBuvXr7f1jI6ODoTDYQwcODDh+rp16zBkyBAMGDAAp556Km6++WYcdthhaZ8RDAYRDAbNv9va2gAA4XAY4XA432plxXie08+VCdbRPgdCXQAAvyf9s7yIDaIHwhHX27PQ3mNHMFaPIq+WUjfjv8bE1t4ZkqbeuWTEh9hpns5QehkptPeYDqfq2G7IiE/L+CwjPo7bMsL3mN8z7KDpAg/77969G4cffjheffVVVFdXm9evvfZavPTSS9iwYUPOZ1x++eV4/vnn8d5776G4uBgAsGLFCpSWlmL06NH46KOPcP3116Nfv35Yv349vN5U0+NNN92ERYsWpVx/4oknUFpa2osaEpKd33/gwXv/8mDWmAiqh6Z2ta86gSVv+VDk0XFHFVfovWHDHg1PfOTF+PIoLh2ffvX9q7e9+KJDw2XjIxhXLscx4OVbPdja4sHsIyM4YUhqmfYcAG7Z7EOJV8dtJ1BGesP6Zg0rPvbimAFRzB2XXkaWbvai6YCGyydEcHR/OWSExOno6MCPf/xjtLa2oqysLOu9Qi04veW2227DihUrsG7dOlO5AYBZs2aZ/z9x4kRMmjQJRx55JNatW4dp06alPGfBggWor683/25razN9e3I1UL6Ew2E0NDTgtNNOg9/vd/TZssA62ufJ5jeAf+3F1OMno/bYYSmfN7d1YslbLyMCD2prZ/SmyHlTaO/xXxs/Az7aiuGVFaitnQwgtY4PfbYBX3S0YtJxU1AzfkjfFribxxtfB1r+hW9NOQ61EytSPt/dcgC3bP5fRDRvWhkptPeYDqfq+NVru4CPP8DwymGorT027T0P7HoNTV+0YfLxU/H9owf3+Lfyhe/RHsYOjB2EKjiDBg2C1+tFc3NzwvXm5mZUVKR2ZCt33nknbrvtNvzjH//ApEmTst47ZswYDBo0CDt27Eir4AQCAQQCgZTrfr9fmCCJfLYssI65CXUHC+tXnP45/Upin0eiOuDxwp8mAq9oCuU9Gn7aJUW+lPoYdSwpill4u3RNmjobMnJIcVEGGYlVLNQVhdfrSxuBFyic95iN3tbRlJFAqowYGE7GfSUjfI+5v2sXoaNpUVERpkyZkuAgbDgMW7eskvnVr36FJUuWYPXq1Zg6dWrO3/n888/x9ddfY9iw1BUyIX2JcbQ34wkZy3WZHF9VJFfMIUDOY/l2QwkAPG3XW2yFEpBQRkjPEL5crK+vx/33349HH30UW7duxWWXXYb29nbMmTMHAHDBBRckOCHffvvtuOGGG/DQQw9h1KhRaGpqQlNTE/bv3w8A2L9/P37xi1/gtddewyeffIK1a9fizDPPxNixYzFjhrsmfkJyYTfZJsDJq7fkdYpKorYOmsk2c0dg5kmq3tGZIxhk7DOGbigUhPvgnH/++fjyyy+xcOFCNDU1YfLkyVi9ejWGDh0KANi1axc8nriw/e53v0MoFML/+T//J+E5N954I2666SZ4vV688847ePTRR9HS0oLKykpMnz4dS5YsSbsNRUhfYkxImVaMmqahyOdBqCvKFWMvMRUFOzFOJGrrYA7FzOf1wOfR0BXVeXS5l9iJgxNg5OiCwRUn47q6OtTV1aX9bN26dQl/f/LJJ1mfVVJSgueff96hkhEiFtMknm3bxFRwOHn1hlwRgWOfybc678yRqsH4bH+wi5NuLzEsONn7IwMrFgrMRUWIQOxsm3DP3xnsRTKWb3WeK30AYCk3t6h6hb3+KJ+MkJ5BBYcQgdjZNolHquWKsTfEfVmy+FdImBojLiM2/EJoVegVtmREQisf6RlUcAgRRDSqI2Se7LGxbcIVY6+Ir87VSbYZjkRjIQKQ3YJDvxBnCNqREbZ1wUAFhxBBWFeAto6lcvuhV9g5AhyQbDvQWo5sFhzTL4RWhV6RzzFxnlhTHyo4hAgiYfKykdyP2w+9I79km3K0tbUc2bfWmJTVCfJJtsn+qD5UcAgRhGHB8Xk0+LJEKA74aMFxglzxZAD5VudBS1wWTUsfoRigBccpgjZOrLE/Fg5UcAgRhB2fkNjnclkVVCW/E2tytLWdLZPY5/QLcYL4STs7p6jkkBHSc6jgECIIO1FTAcvJHk5evcLe6lwuRcHOlknsc57scYJ4n1THykd6DhUcQgRhJ2oqIGf6ABUJ2vKvkEtRsKOUxT6nD44TxPukOn5apOdQwSFEEHbM4QAD/TmFvYjAcllwcqVpMKCMOIOdbWPZTtqRnkMFhxBBdNrIbm39nCvG3mEvIrBcFpzOHLnKDGTzHVIVW0qwjwpOoUAFhxBBBG1acOKRjDmg9gZ7EYHl2uoJ5sg2b2CWmzLSY3Q9HnjT1pF8SZRg0nOo4BAiCFpw3MNuROB4UEU52tquBSdAC06vsR14k/2xYKCCQ4gg7Bxbtn4ui1VBRfKOCCxJW3eGc8fuAeTzHVIRa9tlTZ3C/lgwUMEhRBB2As8B8vmFqIi17VTafrC9jclj4r3GaDtvjsCb7I+FAxUcQgRh94SMbLFZVMQaT8ZOROBIVEc40vcTmO1tTFpwek3cCd1efwxZtj2JmlDBIUQQ9iMZMzR8b7EbEdhqKZFBWbC9jclUDb3GftTo+Od06lYbKjiECKLT5gkZJvfrPXYVBeu7kMGJ1K4PDpNt9h77UaPjn7NPqg0VHEIEEbR7QobJ/XqNXX8nTdOkOnIdlxFacERjN2q0z+uBzxPb5mSfVBsqOIQIwlyd29w2kcGioCp2/Z1i98hzDDjfbRNacHpOPLJ49rYG5JIR0nOo4BAiCPvHxOU6uqwiduPJxO6Rx2HXfqoGecqsKnb7o/UetrfaUMEhRBB2t03iWyZcLfYUuxGBY/fIcwzYvozIU2ZVCdqIYmzA9i4MqOAQIghacNyjJxYcGbZ78g0GSRnpOXZPNQLWbWO2t8pQwSFEEPZjnBj+FVwt9hS7p5EAuY7lM9mme9jtj9Z7qOCoDRUcQgRhP0ptPLBYlIHFeoTdtgasCTf7XlnoSbJNXaeM9IS8ZESyiNekZ1DBIUQQ+VpwAA6oPSWv1bmEFpzcJ+1in0d1IByhgtMTgrTgHHRQwSFEEEG7kYwTgs9xQO0J+ZyQCUiULdo8Jm4zVQMgh2KmIj05RSWDlY/0HCo4hAii06ZJ3BpYjBacnmE3ngwglwOpXRkp8npgpNjipNszehIHR4ZgkKTnUMEhRBD5mMSZcLN3GBORnSPAxRIdAbYrI9YIzJSRnhFva/t+WjJY+UjPoYJDiCDyM4nL4xeiIvlYcGQ6ct0TGaFVoWf0LJIx21plqOAQIoj8Jl15/EJURNVUDcF8ZEQi3yEV6VF/pDKpNK4oOMuWLcOoUaNQXFyMqqoqbNy4Mev9Tz31FMaNG4fi4mJMnDgRq1atSvhc13UsXLgQw4YNQ0lJCWpqarB9+3aRVSAkL3Rdz2vbJH50mQNqT7AbETh2jxzJNqNRHaFIHtF1/XKUW1V61h+pTKqMcAXnySefRH19PW688Ua8+eabOPbYYzFjxgzs2bMn7f2vvvoqfvSjH+Hiiy/GW2+9hbPOOgtnnXUWtmzZYt7zq1/9Cvfeey+WL1+ODRs24JBDDsGMGTPQ2dkpujo9orH1AF796Cs0th7o8XUnnpHten7l7sT2Vg2NrZ027hVX93zKnX85UuuYz7PDER1GSJuWA+GcZfZ0OxnvtvF7fVHHTMgiwy0dIQD2thSM1fmnX3c4Xr587rX6ALV05JYRb7eX8Rctzsqqk9fT4Uz75Ser6a63drexHRkxtrE++brdRRlxtz/mXz5xMiIKTRccNaqqqgrf+ta38N///d8AgGg0iuHDh+M///M/MX/+/JT7zz//fLS3t2PlypXmtRNPPBGTJ0/G8uXLoes6Kisrcc011+DnP/85AKC1tRVDhw7FI488glmzZuUsU1tbG/r374/W1laUlZU5VNMY4XAYq1atQm1tLfx+P558fRcWPP0uojrg0YCl50zE+d8akdd1AL1+Rrbr6ZClfJmenQlZyvfIqztx03PvA7DX1tf9z7sAAA3AbedSRvJ9drr2S9cfAeDyxzdh1btNCe/GifLl+4yHXtmJxSt7ICMacBvHEcdkJB2XPvYGVm9p7nMZEdXWfSUj6fpjvuQzfwtVcEKhEEpLS/HnP/8ZZ511lnn9wgsvREtLC/7yl7+kfGfEiBGor6/HVVddZV678cYb8eyzz+Ltt9/Gxx9/jCOPPBJvvfUWJk+ebN7zve99D5MnT8Y999yT8sxgMIhgMGj+3dbWhuHDh+Orr74SouA0NDTgtNNOw1cdEZzy65fNlTwQ61ynHzMUf9/SDGvDZ7qejnyfkem6RwPWXfNdDOtfnPD8xtZO2+UWWb50ZCpzpnK7XT7j3lXdg2OucufT1pSR/GXE2h/9fj8aWzvxvTtfdrx8PXkGZcSd8qUj1zgii4yIaOu+lJFBpd6E/tgT2traMGjQoL5XcHbv3o3DDz8cr776Kqqrq83r1157LV566SVs2LAh5TtFRUV49NFH8aMf/ci89tvf/haLFi1Cc3MzXn31VXz729/G7t27MWzYMPOeH/7wh9A0DU8++WTKM2+66SYsWrQo5foTTzyB0tLS3lYzI9tbNfz3+7l9AvqSugkRHNU/UQRkL3e6MgNqllv2MgNqlpsy4i4qlpsy4i6Z2jtfOjo68OMf/9iWguPr9a8pwIIFC1BfX2/+bVhwpk+fLtSCc1xHBL/dmqpVnz15GJ7Z3Jii+aa7no58n2Fcf3pzY8JzPBrww9rvp10N2C23k+Wz8+xMZTbKvex9eysvUeXLdK8TbU0ZyV9G0llwksvtRPmceAZlxJnyOTGOyCIjItq6L96BUW6nLDh2EepkPGjQIHi9XjQ3J5pim5ubUVFRkfY7FRUVWe83/pvPMwOBAMrKyhL+AYDf7xfyz3j2iEGHmvuaQOwl33buRNw163jcdu5E02nQq2kZr99+7kTcbvPeXNf/z5QjzLJ4NQ1Lz5mIEYMOTSn/iEGHYsHp4xPutT672x8WHg2Oli9T3Q207r3cdGU2yl07cVhCuXtaPmsdnXg32dp66TnOtJMTdTzn+MNty8i1M8dllBFRMmzn2cllBpC1vZ0onxPP6KmMOC2rua6fNbnStoz8fPrRjsiInTr2RkZytbcbMpKujr88wzoOZx7/ZJtrssm2tT/2Zo61hS6YE044Qa+rqzP/jkQi+uGHH64vXbo07f0//OEP9X/7t39LuFZdXa3/3//7f3Vd1/VoNKpXVFTod955p/l5a2urHggE9D/+8Y+2ytTa2qoD0FtbW/OtTk5CoZD+7LPP6qFQyLw24zcv6SOvW6n/+Y3PEu7d3dKhv7rjK313S0fO6/ncm+n6s299ro+8bqVee8/LKfcn8+lX7frI61bq3/ivVSn3fvplm37Ho3/RP/2yzdHyZbr+kwde00det1Jf9uL2rGXWdV3/7xe26yOvW6lf+OBrvWq/dHXMdH++z06HE+3kRB3/Z9Nn+sjrVur/dm9uGflozz595HUr9XG/TJURUTKc77PT9UeR5XOqjunoC1lNd/3J13fpI69bqf/7f/9vznJ/2NSmj7xupf7NhX/vVfvlU8d8n50Jt2UkXR3bDoT0kdet1Edet1Lf+eX+nGX+7u1r9ZHXrdRXvv2F4+Vz4nqm/pgP+czfwreo6uvrceGFF2Lq1Kk44YQTcPfdd6O9vR1z5swBAFxwwQU4/PDDsXTpUgDAlVdeie9973v49a9/jTPOOAMrVqzAG2+8gd///vcAYiHLr7rqKtx888046qijMHr0aNxwww2orKxMcGSWiUi33XBYeaJZcVj/EgzrX5Jyf7rr+dyb6bpxPDbg86T9jhUjwNUhAV+ashTjqP56gpnUifJlul5eWtRd7tx7zEYcmRGHHZLwnPzLkVrHTPfn++x0ONFOTtTRkJESf+p7T8YInNav2G+rLCJlJJ+2Flk+p+pot8yx6+JkNds4UuL32paRQ3stI/brmO+zM+G+jGTujwAwoHsczIYReeDwAYm+pX0hw/m2twiEKzjnn38+vvzySyxcuBBNTU2YPHkyVq9ejaFDhwIAdu3aBY8nvlN20kkn4YknnsAvf/lLXH/99TjqqKPw7LPP4phjjjHvufbaa9He3o558+ahpaUFJ598MlavXo3i4tT9VBkwlAU7ETRFkk8EVzOEvI2gWKIpziMHT2eX/WilJBUzjYGNYHJxue57GSHuUZxHniZZxj5V8Xs98Ho0RKI6Orsi6I/s2zNB9skEXHEyrqurQ11dXdrP1q1bl3LtvPPOw3nnnZfxeZqmYfHixVi8eLFTRRSKMRDYiaApEjOBnJ3JyyizBAOTGcHVjoJj5JuRQDFTkYCZDiCftu57GSHuEcgjTxP7Y+8J+DzoCEVstrf9iN4HA5Q6F4jnyZHDgmMn/Hg+Yc1Fk0/253xy+5BUis10AHZkxGjrvpcR4h6GBSeUR3+UYaGkKvEkq/bHbfbJGGwFF5Bl26Q4j1w2+SSmE00+mX07JVLMVCQfC46puHO1eFDRk/4ow1a3qtjdoo9EdYQjevd32CcBKjjCiUZ1c6XT1508n2zEnXlkZxaN6ReSV7nZwXtCfn5a8ijBxD3imbYpI25gt09aFSC2d4y+n70KHCNbMND3Ztp8shHnk51ZNAFziyqfclO0e0I+mbZl2sYk7hHPtE0ZcYMim33SuoXF9o7BVhBMglYtiQUnHNHNo+uZoAXn4MS6WtRzZHHh6vzghBYcd8nXglPk9cBjRA08yOn72avAMYTS59Hg8/axgmMZZHLt58qkKJinNhTzHVIRq0Kby6nRPCEjgRJM3MOQkZjPhz0ZkWGhpCrxBZ69MZv9MQ5bQjAymWitZcg1ecm01RM3ids/2SNDuVXEuiVpX0aoTB5MUEbcJWDzFCnbOhXOAoKRyaLg8Wgo8tpbDchytN1aBjsWHJnKrSJ+r2bmxMnlY8HV+cGJdfFgfxyhjPSUfC04bOs4bAnByLTVA8TNlzk7iyRH261lUO30l4pompbHnr88MkLcw+PRTMdXlba6VcXusXz2x1Q4CwhGti2TgM2j4jJFIM3nZE8nzbS9xm7Ea8YcOniJ90l7SjBlpOfYbmv2xxTYEoKJO37JMeHaDfYnU0TgvCIw04LTa+y2t0wyQtzFrlUhyFxUvSbeH9UZs2WBs4BgZNsysb39INFqwO4eNCDX1pqq2PV5YpTagxe7oRtkymmnKnaP5TNNQypsCcF0SrdFZXP7QaK982Kb6QPCkagZ30eW9laRgE3/iqBk1kniHmZ+uJy+fPIslFTFbqoGJr9NhVInGNlO9djefpBIMQvYTABp/VyW9laRQJ4ywhXjwYftPsltk17D/thz2BKCMbdMJNGq7frgyGjB6Yrq6MoSWMy6wpFBMVOV4nytfJLINnEPu1ZVbmP2nryt7uyPJpQ6wcjm9Gp7YJJo5ZUQgTnLitF68kvTGKq8p/CYOMmFbT8tykivyfeYOLeM48gx6xYwskWXzHe7RwZLSEIE5iydXKYyq4zdY/kyRekm7mI3ujhlpPfYPSbOtk6FLSEY6U5R2bTgyOQ7lBCB2YYFR4Yyq0y+FhyuGA8+bB8TpwWn1zDQX8+RY9YtYGSbdAO2Jy+5FDM7EZjZwZ2BoeFJLsz+aDMhK/tkz8k3mzj7Yxy2hGBk2zaxewRYtngydk5/BcM00TqB3cBiPJZ68GL3NKZMEdFVxf6CQy53CBmg1AlGvkjGNjPTSjYw2TlJEJRMKVMV+3v+PJZ6sGL3ZA/7ZO8xFJYQA/3lDVtCMLJtm9heDUg2MNnZh6aJ1hnstLWu65y8DmLsyEhXJIqu7sCb7JM9J18LDvtjHEqdYGQz0dpJtmmNCCxLTIViG6e/4lFT5SizqtjZ87e+B1lkm7iHGck4a3+0ygj7ZE/JN1UD+2MctoRgZFvl2gn0lzB5SbLyCtgIDR8/sSFHmVXFzjFxq++FLLJN3MOO07+1r3LS7TnxI/k8sZYvlDrByLZtYmd1LmNEYDvJ/WTzd1IVOyftDGuZ16PB75VDRoh7FNuIg2NYHIp8Hng8DLzZU+xacDrpg5MCW0IwKqZqkDEisJ34PbK1tarYSdUQDwvPIeRgJC+fOMpIrzDGs0hUR9hGqhqOf3EoeYKJZ1yWo6njWz25/Stksd4A9iIwB83Ac/KUW0XsJPczZYTWsoOS/PojZaQ3WMezrO3dxfEvGbaEYGT1wbG1OpekzIBdCw5XME5ACw7JRV79kRNur7AuNO1YzOjQHYeSJxjZzIa2BiYJndVs+YVI5u+kKvb8tOSTEeIedpJtyjb2qYqmabYCtLJPpsKZQDCymQ0DNpx1ZcuADtj1HWIkTyewE8nYGGiLaME5KDG3qLKOI3KNfSqTz+EQmVwL+hq2hGBkW8WYPjg2jonLpCjYid/DSJ7OYCeSsWxbr8RdzP6YdRyRa+xTmVyhGxh4Mz1CZ4K9e/di9uzZKCsrQ3l5OS6++GLs378/6/3/+Z//iaOPPholJSUYMWIEfvazn6G1tTXhPk3TUv6tWLFCZFV6hK7r0m2b5LMSkKXMgD3fIcaBcAZGjSa5sBe2gf3RKXKN29bFCPtkHJ/Ih8+ePRuNjY1oaGhAOBzGnDlzMG/ePDzxxBNp79+9ezd2796NO++8ExMmTMCnn36KSy+9FLt378af//znhHsffvhhzJw50/y7vLxcZFV6RDiiozsgsDTWEFt7uV0SOhnbONlDE60z2AkNT4fGg5t8tjHZH3uPuUWfob2t4yL7ZBxhCs7WrVuxevVqvP7665g6dSoA4L777kNtbS3uvPNOVFZWpnznmGOOwf/8z/+Yfx955JG45ZZb8JOf/ARdXV3w+eLFLS8vR0VFhajiO4LVnCjLPrQ12aau62nj3Jh75xINTEy26R4BG2H4mWjz4CbeH7mN6Qa5+qQx13g0wO+VI3aZDAhTcNavX4/y8nJTuQGAmpoaeDwebNiwAWeffbat57S2tqKsrCxBuQGAK664ApdccgnGjBmDSy+9FHPmzMkYlC4YDCIYDJp/t7W1AQDC4TDC4XC+VcuK8bxwOIz9wbgwevQIwlmsD27hRbwM7QeCaWNUtAdjdSjyamnbx1pHtzDm0QPBroy/eyDUBQDwaXqvy9YXdXSbTHU0ZKQrquNAZxC+NJGKO3LIiCwczO9RJL5uGQl1RREMhtJGKm4PhgAARd7el+1gf48BX6x993eG0n6+70Bsfiv2e9HV1SWwlL3DifeYz3eFKThNTU0YMmRI4o/5fBg4cCCamppsPeOrr77CkiVLMG/evITrixcvxqmnnorS0lKsWbMGl19+Ofbv34+f/exnaZ+zdOlSLFq0KOX6mjVrUFpaarNG+dHQ0ICvOwHAB7+m4+9//7uQ38mX2AIg9tr/+vfnUZpGAt7+QgPgxVfNjVi16ouMz2poaBBSxnR88GWsTF80NWPVqlVp72n+2gtAwzub30TkU92R33Wzjn1Fch1DEcCQkedWrUZxmgX425/H3seext1Ytepz4WXsLQfjexRJp1VG/vZ3FKWRkXc/i8lI8+4vsGrVZ4787sH6Hve1eAB4sOGNNxFNM7Y1dgCAD1q0K+P4KBO9eY8dHR22781bwZk/fz5uv/32rPds3bo138em0NbWhjPOOAMTJkzATTfdlPDZDTfcYP7/cccdh/b2dtxxxx0ZFZwFCxagvr4+4dnDhw/H9OnTUVZW1uuyWgmHw2hoaMBpp52GXS0h4K1/orTYj9raGY7+Tk/RdR2/2NiAqA589/vTMOTQQMo9H734EbDrI4wZNQK1tRNSPrfW0e/3u1FsaFua8NiOd3Bo+UDU1p6Q9p77dvwTaG/Hd6qrcOKYgb36vb6oo9tkqmM0GpMRAPjeqTU47JCilO9+uHYH8NnHOGrMSNTWjnetzPlyML9Hob8ZieK6jf8AAJwy7TSUl6b+7taG7cDnO3HUkaNQWzuud793kL/Hv+x9C9tav8T4b05E7dQjUr675Ys24O3XcGhpMWprv+dWkfPGifdo7MDYIW8F55prrsFFF12U9Z4xY8agoqICe/bsSbje1dWFvXv35vSd2bdvH2bOnIlDDz0UzzzzTM6GqKqqwpIlSxAMBhEIpE7YgUAg7XW/3y+ss/j9fnTpMVNasd8rVacs9nvREYogonvSlsvYSSstyt4+ItsvmX4lsUk22KVn/M1gd56WQ0qKHCuXm3XsK9LVscjnQagrighyyEhAjfY5WN+juN+KJVqNRPWMMhLqdpdzUkYO1vdYEohN1eEo0ta/C7EtrJIinxLt05v3mM/38lZwBg8ejMGDB+e8r7q6Gi0tLdi0aROmTJkCAHjhhRcQjUZRVVWV8XttbW2YMWMGAoEAnnvuORQXF+f8rc2bN2PAgAFplZi+JCjhaSQgruBkctiV8QhwXhGYeYqg1xR3KziZ2pupGkixz4P2UCSzjDAOjmOY418GJ2OeWEuPMB+c8ePHY+bMmZg7dy6WL1+OcDiMuro6zJo1yzxB9cUXX2DatGn4wx/+gBNOOAFtbW2YPn06Ojo68Nhjj6Gtrc00Rw0ePBherxd//etf0dzcjBNPPBHFxcVoaGjArbfeip///OeiqtJjZDyNBOQ+Ki5j/IqAP/fJHrOTS6SYqUqx34u2zq6cCg4TKR68FPu9aA9FMvZJ9kfnyBW6oZOJTdMiNA7O448/jrq6OkybNg0ejwfnnnsu7r33XvPzcDiMbdu2mU5Db775JjZs2AAAGDt2bMKzdu7ciVGjRsHv92PZsmW4+uqroes6xo4di7vuugtz584VWZUeIWM8GSDxqHg6DMuTTIqZnfg9PJbqHLmyRcuYcZ64S64+afZHykivsXtMnG2diFAFZ+DAgRmD+gHAqFGjoOtxj/BTTjkl4e90zJw5MyHAn8zIumWSc2CS0IKTK7puNKojxAHVMXJtCcqYcZ64S64+GaSMOIZdCw7bOhHOBAIxLSGSmWhzZeaW0gfHpkUBoJnWCXJFju6UdPuVuEeubeNOJtt0jFypGuiDkx62hkBkzW5dnCNxm8zJNo0IzMlY60ILTu/JldxPVgd64h65t6joZOwUufsjLTjp4EwgEBktIYD91YBM5baWJd2K0aiLz6OljbxL8iO3jHBAPdiJJ8CljIgmt0VVvjFbBtgaApHVgpPzFFWXfCdkrINkuk5OE62z5N7zZ3sf7ORKuEkZcY5c/TFotrU8Y7YMUPIEEjfjy9XMOU9RSehf4fNoMNLdpIvfQxOts+Q6tRFiex/05Eq4aW51U0Z6Te5TVEx+mw62hkBkNdHmXJ1L6F+haVrWUxs81eMsAZsWHA6oBy92LTiUkd5j16LK8S8RSp5AZDXR5h6Y5Dzens3yxKBizpLTB4cWnIOe4hxWBU66zmGefM0YfZ79MR2cDQQi67ZJLtOyrCuv4iy+Q50SnvxSmXhoePpXkPTktgTLt9WtKvG4VJkWHOyP6WBrCCQoq6KQw4Ij6955tvg9sra1qpiRjDMMqLIq78Q9Alm2jHVdp5+Wg8Qji2cPzirbmN3XcDYQiIy+LED27QeZIwJnO/1lbpnQguMI2Sw44UgUkaiecB85+IhbVNMsOCzWYdnGPxWxa8GRbczua9gaApHxNBJg3aLKfBoJkG9gog+Oe2TbfrBeY3sfvMQjGeeQEcnGPxWxHbZBsjG7r6HkCURWC445MKVdeck7MGWz4ARpwXGUeOTU7Ktz2WSEuEfAhgXH69HgZ+DNXpMrLQYTm6aHrSEQWQP9FWex4MgcETjbMXH64DhLNj8tq4OxpmmulovIg62wDZxwHcFox1BXFNFoaqoanqJKD6VPILJum2RzDpT5aGe2hJvxSVe+cqtINj8tJtokQK4tYzq9OklCJPd0VlWeakwLW0Mgsm6bFNvYfpCxowR8WSw4jOTpKNmS+zHRJgFybRnTguMk1vE4fZ+kBScdlD6BSBtPJuvqXN7Jy44FR8Zyq4gdCw7b+uDGlJEsFhzKiDP4vB74unPVqDZu9yVyzbwFhqw+OObqPJt/hWRKGZDLL0Rey5OKZEvVQHM4ASwLjizjSBFlxDHs+DyxTybC1hCI7Mk2VYsnk33FyGOSThJv63QywtUisRe2gTLiHOZR8bR9khazdMg18xYYQUnNtNkGpqDEFhxbx8Qla2tViVv50skI/Z2I3f5IGXEKM6N4Up/ssgbeZHsnwNYQRCSqIxSRc9LNGsRNAQtOuklXVn8nVclu5ePqnNCC4zaZto07JQ7O2tdwNhBESOJgaOZppKwDk1xlBrJHYGayTWex40Aqm1wTdynOcqqRiTadpzjDuG1t/yLJYpf1NWwNQVgnYdm0akN5iUR1dEUSO0tQYkUhW/weBvpzloAlsJiuJwYWC9LfiSDRopBJRmQb+1QmkMGp2xizi3weeDwMvGmFs4EgjFWu36vBK5nQWQed5NWAzIpCtuR+Mm+tqUi2wGJsawLE339UB8KRJAWHMuI4uSw4jDmUCltEECGJLSFWM2bKfq7EK6/4nn+Wo8sSKmYqYh0sM8kI2/rgxvr+k/skZcR5MvlO8gRpZih9gpDZl8Xj0cz4FMmrc7kjGedO7iejYqYiPq/HtDxmkhGuzg9uAglKcAYZYX90DPMUVab+KOFc09ewRQQhu9NrcYYjnipYcLIn95Ov3KqSW0Y4fBzMaJqW8ag4t02cJ1NgRY59maH0CUJ2E20mh12Zk+QZCk4oy+kvWdtbRTKla5A1Qjdxn0xHxblt4jyZFnhBc8zm2JcMW0QQIcnN+PH93AwOaxJ2lqzxe8Jyt7eKZB5Q5ZUR4i6Z/ULk3epWlcwLDlpwMkHpE0Sn5NFei33pHXalPiae4RSBruvSpsVQmUAOPy0ZtzGJuwQyjiPybnWrSrw/ph+z2dapcDYQhBEHR0ZFAbDGVFDPgpO8Bx2O6OiOVC5te6tI5m1MJvYjMYozjiO04DhNIIcFh22dCltEELJ7tmeKQipzjJNM0XWtQRW5D+0cGbcfuDon3WRKyirzYQVVyXVMnG2ditDZYO/evZg9ezbKyspQXl6Oiy++GPv378/6nVNOOQWapiX8u/TSSxPu2bVrF8444wyUlpZiyJAh+MUvfoGuri6RVckb2SN5ZnIOlDmejLFCiUR1hC0RmI3Vo6ZxFeMkGbeoJN9+Je6RKXQDt02cJ9cxcRnH7L7GJ/Lhs2fPRmNjIxoaGhAOhzFnzhzMmzcPTzzxRNbvzZ07F4sXLzb/Li0tNf8/EongjDPOQEVFBV599VU0NjbiggsugN/vx6233iqsLvkie/r6zKtz+S04QKxT+72JdQj4PNA0uaJGq0wmJ2Nz+1VS2SbukSn4psxb3aqSy6Fb1rmmLxEmfVu3bsXq1avxwAMPoKqqCieffDLuu+8+rFixArt378763dLSUlRUVJj/ysrKzM/WrFmD999/H4899hgmT56M008/HUuWLMGyZcsQCoVEVSdvgpLvQQcybFHJbHkKZIiuG5Tc30lVMoeGl1u2iXvExxF1ctqpSsb+2EUfnEwIs+CsX78e5eXlmDp1qnmtpqYGHo8HGzZswNlnn53xu48//jgee+wxVFRU4Ac/+AFuuOEG04qzfv16TJw4EUOHDjXvnzFjBi677DK89957OO6441KeFwwGEQwGzb/b2toAAOFwGOFwuNd1tWI8ryMY+6/fqzn+G05Q1D3udIQS28BQHLxaNGO5jet9Ua8inwehrij2HwiifyDWofcfiCm2xT6PY2Xqyzq6Ra46GjrugWB6GfFpuvTtw/coFmMcae8MZZCRzONIPvA9xvobAHSGuhLuOdA91xR55JxrrDjxHvP5rjAFp6mpCUOGDEn8MZ8PAwcORFNTU8bv/fjHP8bIkSNRWVmJd955B9dddx22bduGp59+2nyuVbkBYP6d6blLly7FokWLUq6vWbMmYfvLSbZ9tBOAB7t3fYJVqz4W8hu9obnRA8CDd9/7AKvatprXW/Z5AWjYtGE99ryX/RkNDQ1Cy5gOrx4r35q1L2JoSezazn0A4EMk1IlVq1Y5+nt9UUe3yVTHL5tiMvL2lvexqiUuDG37Y+/gjddeReO77pSxtxzM71EkXzVbZORfFhlpj8nIxvX/xGcODrEH83vcslcD4EXzV3sTxrkPP469g107d2DVqu3uFLKX9OY9dnR02L43bwVn/vz5uP3227Pes3Xr1qyfZ2PevHnm/0+cOBHDhg3DtGnT8NFHH+HII4/s0TMXLFiA+vp68++2tjYMHz4c06dPT9j+coJwOIyGhgZUHH4E0Lgb478xFrXTxjr6G07w5qoP8GrzLowYPRa1048yr9/09otAKIxTT/kujhrSL+13jTqedtpp8Pv9bhUZAHDLlpdwYF8QVSedjAnDYu/u1Y++BrZswoD+/VBb+21Hfqcv6+gWuer4xsqteG3PZxg55ijU1sRl+JdvvQCEuzDtlO9hzOBD3Cxy3vA9iuW1597Hxi8/x+gjv4HaU+Pj84JNawFEUHPqKRg5sPcaDt8j0P+jr3H/tk0oPuRQ1NaeZF5f9z/vAs2NOGbCONR+Z7SbRc4bJ96jsQNjh7wVnGuuuQYXXXRR1nvGjBmDiooK7NmzJ+F6V1cX9u7di4qKCtu/V1VVBQDYsWMHjjzySFRUVGDjxo0J9zQ3NwNAxucGAgEEAoGU636/X1hnMbakS4vF/UZvKA3EyhSK6gnlM/bSDy0J5Cy3yPbLhOEb1KV7zN/u0mOOxSVFPsfL0xd1dJtMdTRkJJwkI4Z/Wb/S3DIiCwfzexRJfByB+du6rptbVHbGkXw4mN9jv+IiAN0HLCyfh7rdEQ8JqNM2vXmP+XwvbwVn8ODBGDx4cM77qqur0dLSgk2bNmHKlCkAgBdeeAHRaNRUWuywefNmAMCwYcPM595yyy3Ys2ePuQXW0NCAsrIyTJgwIc/aiEP21AHFaY4cWiMCy+qwZh5dTnAylrutVSXdMfFoVEcoYrS3nDJC3CNdss2uaDzwJvukc2Q+Ji7vwZC+RtgINX78eMycORNz587Fxo0b8c9//hN1dXWYNWsWKisrAQBffPEFxo0bZ1pkPvroIyxZsgSbNm3CJ598gueeew4XXHABvvvd72LSpEkAgOnTp2PChAn4j//4D7z99tt4/vnn8ctf/hJXXHFFWitNXyFzPBkgXi7rwJQQEVjSzpIufg8TbYohXSRja7vLKiPEPbL1R4B90kly5v1iW6cgtEUef/xxjBs3DtOmTUNtbS1OPvlk/P73vzc/D4fD2LZtm+k0VFRUhH/84x+YPn06xo0bh2uuuQbnnnsu/vrXv5rf8Xq9WLlyJbxeL6qrq/GTn/wEF1xwQULcHBmQ3apQbFpCLAOTJZaFrPEr0nVyZrcWQ7rkftZ2pwWHpEufYpUXWS3BKsJkm/kjNNDfwIEDswb1GzVqFHRdN/8ePnw4XnrppZzPHTlypOOnZZxG/kB/qQG6rBGBi7xyDkzxhJupcXBkVcpUJV1yP0Nx93k0+CSVEeIe2fojA286i7U/6rputi2jRmeGI5QggpInQMu2Opd5YEqX3I+RPMWQTUbY1gRgf3QTY0s4qsfcCQy4RZ8ZtoggZNeq0zkHquCsls4vhNl0xZB2O1ByJ3TiLumSbbI/isFqoU5ob0ZyzwglUBCdkickTO8cKH8IflMxs5RbdmVSVdKd2ghydU4spEu2yf4ohiKvB4Zh3WoxY/LbzLBFBNEpuTUk3SkqFSw4pmKWdtuE4uwk6R26aQ4ncQJpffnYH0WgaVpayzu3jTNDCRREqEtua0g650DZY/cA1oRzTLYpmrRWPiZRJBaK0yTb5JaJONIdDumUfK7pS9gigpBdq46vztWyhGQ7Ji5zuVWkOE3GeRVkhLgH+6O7JCuU0ahuLqZlnWv6EkqgAHTdolVL2snjWz2pR4BlXnkF0qwYVdhaUxFDdoPp/J0klhHiHuyP7hLvk7E2NqKKA2zvdMg5+ypORI8pOYC8ykI6Z10V/CuKkzo4oIZztIpks+DILCPEPdgf3SXZgpMQNZrtnQJbRADWQJOymmkNbT/UFUW0Oz+DCvErsjsZy1tuFbFuPxgBOYOMmkosZOuPTOXhPMlbgsaY7fVo8DPwZgpsEQEYfV3miMBWZcAwc8qeaBPIFL9H/q01FTHaM6rHEigC1iPA8soIcQ+jP4YiUUSSZYT90XGSQzeY24ESj9l9CVtFAIaCI3NEYKsSk7wakNkSwmSb7mFtz7iM8IQMiZOwUOpK3DZhf3Se5PAe8USb7I/poAQKwFBwZFYU/F4PvJ6Y8pW8nyvz6jxbbBauGJ0lUQmOJvxXZhkh7pF1ocT+6DjJ6VPiYx/7YzrYKgIwFRzJO3hxUjJFFbZ60if346QrAmtgsbiM0N+JxPF5PfAZC6UUGWF/dJrU/ii/1b0voQQKIG7Bkbt5M64GJC63eUySyf1cIVVGaBIniSQ7GrM/iiPTmM3+mB55ZzKFCeuxFY3MlhAg1WE37rAmb7nTJfeTPXO7yqSe2mBbk0RMGTGsCpQRYbA/5gdbRQDqWXAUcjLOEhpe5nKrSnJo+E6axEkSycH+2B/FkZyqppPb81lhqwjAPEUleQcPJJ1IMo+JS9xZ4ltUsbJGojrCkdjxVA6ozmPu+XcLNRMpkmSS+ySzW4sjeYs+yBhgWaEECsB6TFxmkreoVDj9EN+iSlTKAPnbW0WStwSZbJMkE7cqJFpwKCPOU+xLb1Hl2JcetooAuswtKrk7eHzvXJ34FcbJLyMCs3WrSvb2VpFMoeG5OicGmaLrUkacJ9nJmBac7FACBRBSRsFJTLipxDFxS5sGu6LmSsbv1cy4PsQ5kpP7MUotSSaQlLMsvtVNGXEa9sf8oIIjAOW2qLrUWZ1bA1oFuyKWxH7s4CJIdiANKmDlI+4ST7iZFEpA8vFPRTJZVNkf08NWEUBXNGZJkFlRAFItOCokrUwILBaOKqGUqUymY6kyywhxFxXHEVVJTdXAts4GZwUBqBPJOPkUlRorL6tztArbaiqTmtyPJnGSSLw/UkZEk7k/yj1m9xVsFQHEj4nL3byZnQPlHpisCTdpwRFLZgsO25vESImVRBkRRsZAf5KP2X0FJVAAqlhwAkmB/lTxyLcGKGR2a7FkTNXA9ibdpJ7sYToPUWQKziq71b2vYKsIQIVs4kDcrJkagVRusbDuQ/NIqlisK0Zd15WREeIe1v4YieoIRbhtIorM+QPlnmv6CkqgAFRJ1RCwmJatEYFlX51b96GZ3Vos1rYOR3Toevd1tjfpxiojISMIGNgnRRDPJp7kg8O2TovcM7CixI+Jyy10VudAa0Rg2RUzq1UhSBOtUMwjwOFIQoJTtjcxKE6wqFJGRJLpxBrbOj1sFQGo42Rs9WWJr7xkV8ysoeGZ2E8s1lQNxmCqaRxQSZx0/dHn0eDzUkacJjlzO5PfZocSKICwGQdHbqGznkZSKSKwNblfUJGTX6piTbZptZZpmtwyQtyD/dE9jMVnOKIjEtWZ/DYHbBUBKBfJ2OqsK7n1BkhaMdJEKxSrBSfIJIokDeksOOyPYrAqMsEuxgHLhVAp3Lt3L2bPno2ysjKUl5fj4osvxv79+zPe/8knn0DTtLT/nnrqKfO+dJ+vWLFCZFXyoqvbEVP2VYw1M7dK8RTS+YXI3taqYk3VwBNrJB3ptrrZH8VgXYAykntufCIfPnv2bDQ2NqKhoQHhcBhz5szBvHnz8MQTT6S9f/jw4WhsbEy49vvf/x533HEHTj/99ITrDz/8MGbOnGn+XV5e7nj5e4oyx8StpuUudSYv64Aaj7khf7lVJJ5nKMITayQtCeMIcyMJxePRUOT1IBSJJlhw2CfTI0zB2bp1K1avXo3XX38dU6dOBQDcd999qK2txZ133onKysqU73i9XlRUVCRce+aZZ/DDH/4Q/fr1S7heXl6ecq8shJTZokqNCCx7mYHEo5Kd3DYRSjoLjgoyQtwjYRzhlolwAr6YgmO14LBPpkeYgrN+/XqUl5ebyg0A1NTUwOPxYMOGDTj77LNzPmPTpk3YvHkzli1blvLZFVdcgUsuuQRjxozBpZdeijlz5mR0fAwGgwgGg+bfbW1tAIBwOIxwOJxv1bISDodhhILwaVHHn+8kPi1W0AOhLrR3hgDEOkquMhuf91Xd/N7Ye+4IhtER7AIAFHmcLU9f19EN7NTRkJHOUBf25yEjssD3KJ74OBJB+wFDRjT2xzyxW8eA34N9QWD/gaCp4Hgh91xj4MR7zOe7whScpqYmDBkyJPHHfD4MHDgQTU1Ntp7x4IMPYvz48TjppJMSri9evBinnnoqSktLsWbNGlx++eXYv38/fvazn6V9ztKlS7Fo0aKU62vWrEFpaanNGtknHI2tXl59+SW8H3D88Y7R2AEAPuzr6MQ/X3sdgBcH9rdh1apVtr7f0NAgsngZ+ewzDwAPtu3YifYuAPDgo+0fYNX+rY7/Vl/V0U2y1fGLdgDwobX9ANZvfAOAFx1trbZlRBYO9vcoks/2A4APLfvb8dobmwB40d76LyEywvcIRMNeABoa1v0vonpsCv/fdS+gVKjDibP05j12dHTYvjfvJpk/fz5uv/32rPds3dr7iebAgQN44okncMMNN6R8Zr123HHHob29HXfccUdGBWfBggWor683/25ra8Pw4cMxffp0lJWV9bqsVjqDIUTWrwMAnD6jBgNKixx9vpPs2tuB295+BbrHh2OOnQB8+C4qBh+G2tqpWb8XDofR0NCA0047DX6/36XSxtn10sd4/vMdqDh8OFo6QsDXX+L4SRNR+60jHPuNvq6jG9ip486v2vGrd/4JeP345sRxwIdbMGzoINTWTnG5tD2D71E82/fsx53vvgqPrwjjj/kGsP09VFYMQW3t8Y79Rl/X0Q3s1vGe7f/E3mA7JkyeCry3GQDwg9NnKHFAxIn3aOzA2CFvBeeaa67BRRddlPWeMWPGoKKiAnv27Em43tXVhb1799rynfnzn/+Mjo4OXHDBBTnvraqqwpIlSxAMBhEIpJpMAoFA2ut+v9/xztIR6jL/v19JAH6/vGp1v5JYm3SGI+jqjt1TUuSz3SYi2s8OpcUxpTEU0RHsTi9RGhBTlr6qo5tkq6MhI8Fw1BLfyb6MyMLB/h5Fcqg5jkTN7fkSQTLC9wiUFMUUmfaQbl47pCSgVGyq3rzHfL6X9+w7ePBgDB48OOd91dXVaGlpwaZNmzBlSmy198ILLyAajaKqqirn9x988EH8+7//u63f2rx5MwYMGJBWiXEba0Rg2WPKGOWL6sC+bl8WNU5RpaZq4CkCMRjtGopETeVdBRkh7hGwRNdlKAHxGH2y5UDMF4WBNzMjzLwwfvx4zJw5E3PnzsXy5csRDodRV1eHWbNmmSeovvjiC0ybNg1/+MMfcMIJJ5jf3bFjB15++eW0e7h//etf0dzcjBNPPBHFxcVoaGjArbfeip///OeiqpIXxrE9v1eDR5GIwADQanYW+RWF9Mk2OaCKwHo6o63TUHDklxHiHkZ/1BMWSpQRURh90hiz2daZEbp/8vjjj6Ourg7Tpk2Dx+PBueeei3vvvdf8PBwOY9u2bSlOQw899BCOOOIITJ8+PeWZfr8fy5Ytw9VXXw1d1zF27FjcddddmDt3rsiq2CZ+bE9+oUuYvMzOIr+ikJjcj8dSRWIdPNssK0ZCDKxjBmVEPEafZFvnRqiCM3DgwIxB/QBg1KhR0HU95fqtt96KW2+9Ne13Zs6cmRDgTzZUCpinaRoCPg+CXdGYsy7UUBTSJ9uUv71VxOvR4PdqCEd0U0a4YiRWirweaFrMgkMZEY8x1rGtc8NZwWHM0NmKaNVG51DJ3GkmCaUPjisYCmWrQlY+4h6apqXIiAonelSF/dE+bBmHMSw4RQpYQoDU/VwVzJ1m9mIm93MFo71V8tMi7pIqI+yPomB/tA+l0GFU2qICUj3yVbCEmFtU4Ygl2Zz85VYVYwBt4YqRZKA4RUbYH0XB/mgftozDqDbhGp2jtUOdzmKU8YDVyViBcqtKqoyoIdvEPVQcR1TFdCtgf8wJpdBhVEtImOyDo4K50yjj/s54UEV2cnEEkvf8FZAR4i6UEfdIdStgW2dCjVlYIYJdaik4Rjm7orHTbCqsvIwyGmUG1GlvFUlub1rLSDKUEfcwFnNs69ywZRwmHnhODa06uZwqlDv5hIamxY6qEjEkywRXjCSZ5D5JC444khehbOvMcFZwGDNUuSIWheTJSgVLSHIZi31ehioXSEp7c8VIkkiVEU66okges9kfM8OWcRhzi0oRoUsupwoDUyz3iuVvRdpaVWjBIblIkRH2SWEkKzTsj5mhFDpMUKFUDUCqeVOF1YARgdmAJlqxpG5jyi8jxF1SZIR9Uhjsj/ZhyzhMp3JxcNRcDVg7uSptrSope/4KWPmIuyRvybNPioP90T6UQoeJJ9tUo2lV3c+1tq8qSpmqqOinRdwleUuKfVIc7I/2Ycs4TPyYuBodnBYckgsV/bSIu6i41a0qtODYh1LoMPHkj2o0rYrHxIHEAZWJ/cSSOnmxvUkiqU7GlBFRqGp17wvYMg4TT/6oRgdPNm+qcvrBWk6aaMWSuv3A9iaJpIwjlBFhqGp17wsohQ6jarJN829FOou1nLQoiIUWHJILq0xoGhUckdCCYx+2jMOo5mRs7RweDfB71QiYZ7UqcMIVi7V9/V4NXo8aMkLcozjJosrAm+LgdqB91JiFFSIe6E8NobN2loBCEYGtqxhVokarCmMOkVwEaFF1jRSnf/bJjHBmcJigcqkarJYQNcoMJK0YFSq3iiQowWxrkgb6xLlHskLDPpkZtozDdCqWbDPgV3PllXBMnCsYoSRuP7CtSSrFio4jKuL3arDuEnP8ywwVHIcxLDiqrGJUddYtpg+OazDmEMkFFxzuoWka+6RN2DIOEz8mrkbTqmpatloSVCq3ijBqNMlFgoxwwhVOYnuzT2aCkugw8WPiagidqgHzaMFxD64WSS5owXGXxPZmn8wEW8ZBdF1Hp3KRjK0nZNQoM5C8taZOuVWEyiTJBZ3+3YU+T/agJDqIYb0B1Nk2CfjVtOAE6PjqGtwOJLlIlBH2R9EkbhuzT2aCLeMgiQqOGp282KeoBYdHl12DQRVJLhKtfOyPojEWoz6PBp+X7Z0JtoyDBLujGGvQlYkIrKqpU9XTXyqiqowQ92B/dBdjMcq2zg4VHAcx/G/8HigUEVhNU6eqp79URFUZIe7B/uguhgWHbZ0dto6DBLuPiKtkofV5PfB1R41SaTXA0PDuUeT1wNDX2dYkHbTguAstOPZQaCqWH6sFRyWMTqLS3jlP9riHpmnmBEZ/J5IOj0dDkdeYdCkjojHGPPbH7LB1HKRTQQsOEB+QVFIUGJvFXUwZUcR5nrhPgDLiGuyP9hA2M9xyyy046aSTUFpaivLyclvf0XUdCxcuxLBhw1BSUoKamhps37494Z69e/di9uzZKCsrQ3l5OS6++GLs379fQA3yp7PbyVi1bVFju0el/VxG13WXAC04JAeUEfdgW9tDWOuEQiGcd955uOyyy2x/51e/+hXuvfdeLF++HBs2bMAhhxyCGTNmoLOz07xn9uzZeO+999DQ0ICVK1fi5Zdfxrx580RUIW+MPFTRKNDY2pnjbnkwThmGLMfcZcdqwWk7EOrDkhwcGPpkKKyOjBB38XWfHA0qNI6oimHBCYajaGw90MelkRdhCs6iRYtw9dVXY+LEibbu13Udd999N375y1/izDPPxKRJk/CHP/wBu3fvxrPPPgsA2Lp1K1avXo0HHngAVVVVOPnkk3HfffdhxYoV2L17t6iq2OaFbXsAAM2dGk759ct48vVdfVyi3Dz5+i7s2hvrIPe9sEOJMgPA2g/2mP9/9m9fVabcKvLk67vweUtMYb9n7Xa2NUnhydd3oal7UXfXmg8pI4L56Mt2AMD7jW349m0vsL0z4OvrAhjs3LkTTU1NqKmpMa/1798fVVVVWL9+PWbNmoX169ejvLwcU6dONe+pqamBx+PBhg0bcPbZZ6d9djAYRDAYNP9ua2sDAITDYYTDYUfK39jaiT9uiAtZVAcWPP0uqkcPwLD+xY78htM0tnZiwdPvmn/rsFdmo82cart8aWztxF1rtpl/i2jrvq6jG9ipY09lRBb4HsXjhoz0dR3dwG4dG1s78aJlgafCXGPgxHvM57vSKDhNTU0AgKFDhyZcHzp0qPlZU1MThgwZkvC5z+fDwIEDzXvSsXTpUixatCjl+po1a1BaWtrbogMAtrdq0JHoCxLVgT+tehFH9dcd+Q2n2d6qIar3vMwNDQ2iipaV3pY7H/qqjm6SrY5utrVIDvb3KBL2R2fJVUcV55pkevMeOzo6bN+bl4Izf/583H777Vnv2bp1K8aNG5fPY4WzYMEC1NfXm3+3tbVh+PDhmD59OsrKyhz5jcbWTizb+jJ0i3x5NOCHtd+XVqtubO3Eb7e+jGieZQ6Hw2hoaMBpp50Gv9/vQkkT6Wm586Gv6+gGduroRluLhO9RPOyPzmC3jir3SSfeo7EDY4e8FJxrrrkGF110UdZ7xowZk88jTSoqKgAAzc3NGDZsmHm9ubkZkydPNu/Zs2dPwve6urqwd+9e8/vpCAQCCAQCKdf9fr9jnWXEID9uO2ciFjz9LqJ6TOCWnjMRIwYd6sjzRTBikB9Lz5mI65/egoiuw6tpuPWcY2yX2cn2y4feljsf+qqObpKtjm62tUgO9vcoEvZHZ8lVx0Lok715j/l8Ly8FZ/DgwRg8eHDeBbLD6NGjUVFRgbVr15oKTVtbGzZs2GCexKqurkZLSws2bdqEKVOmAABeeOEFRKNRVFVVCSlXPpz/rRGoHj0Af1r1In5Y+30lBO78b43Ad78xGJ981YFRg0oxrH9JXxfJFqqWW0XY1iQXlBF3YXvbQ5gPzq5du7B3717s2rULkUgEmzdvBgCMHTsW/fr1AwCMGzcOS5cuxdlnnw1N03DVVVfh5ptvxlFHHYXRo0fjhhtuQGVlJc466ywAwPjx4zFz5kzMnTsXy5cvRzgcRl1dHWbNmoXKykpRVcmLYf2LcVR/XXpToZVh/UuU7CCqlltF2NYkF5QRd2F750aYgrNw4UI8+uij5t/HHXccAODFF1/EKaecAgDYtm0bWltbzXuuvfZatLe3Y968eWhpacHJJ5+M1atXo7g4riw8/vjjqKurw7Rp0+DxeHDuuefi3nvvFVUNQgghhCiIMAXnkUcewSOPPJL1Hl1P9PjWNA2LFy/G4sWLM35n4MCBeOKJJ5woIiGEEEIKFMZ5JoQQQkjBQQWHEEIIIQUHFRxCCCGEFBxUcAghhBBScFDBIYQQQkjBQQWHEEIIIQUHFRxCCCGEFBxUcAghhBBScFDBIYQQQkjBISySscwYEZTzSbtul3A4jI6ODrS1tRVs1lvWsTBgHQsD1rEwYB3tYczbyZkQ0nFQKjj79u0DAAwfPryPS0IIIYSQfNm3bx/69++f9R5Nt6MGFRjRaBS7d+/GoYceCk3THH12W1sbhg8fjs8++wxlZWWOPlsWWMfCgHUsDFjHwoB1tIeu69i3bx8qKyvh8WT3sjkoLTgejwdHHHGE0N8oKysrWCE1YB0LA9axMGAdCwPWMTe5LDcGdDImhBBCSMFBBYcQQgghBQcVHIcJBAK48cYbEQgE+roowmAdCwPWsTBgHQsD1tF5DkonY0IIIYQUNrTgEEIIIaTgoIJDCCGEkIKDCg4hhBBCCg4qOIQQQggpOKjgOMiyZcswatQoFBcXo6qqChs3buzrIvWYl19+GT/4wQ9QWVkJTdPw7LPPJnyu6zoWLlyIYcOGoaSkBDU1Ndi+fXvfFLaHLF26FN/61rdw6KGHYsiQITjrrLOwbdu2hHs6OztxxRVX4LDDDkO/fv1w7rnnorm5uY9KnD+/+93vMGnSJDOwVnV1Nf7+97+bn6tev3Tcdttt0DQNV111lXlN9XredNNN0DQt4d+4cePMz1Wvn8EXX3yBn/zkJzjssMNQUlKCiRMn4o033jA/L4RxZ9SoUSnvUtM0XHHFFQDUf5eRSAQ33HADRo8ejZKSEhx55JFYsmRJQu4o196jThxhxYoVelFRkf7QQw/p7733nj537ly9vLxcb25u7uui9YhVq1bp//Vf/6U//fTTOgD9mWeeSfj8tttu0/v3768/++yz+ttvv63/+7//uz569Gj9wIEDfVPgHjBjxgz94Ycf1rds2aJv3rxZr62t1UeMGKHv37/fvOfSSy/Vhw8frq9du1Z/44039BNPPFE/6aST+rDU+fHcc8/pf/vb3/QPP/xQ37Ztm3799dfrfr9f37Jli67r6tcvmY0bN+qjRo3SJ02apF955ZXmddXreeONN+rf/OY39cbGRvPfl19+aX6uev10Xdf37t2rjxw5Ur/ooov0DRs26B9//LH+/PPP6zt27DDvKYRxZ8+ePQnvsaGhQQegv/jii7quq/8ub7nlFv2www7TV65cqe/cuVN/6qmn9H79+un33HOPeY9b75EKjkOccMIJ+hVXXGH+HYlE9MrKSn3p0qV9WCpnSFZwotGoXlFRod9xxx3mtZaWFj0QCOh//OMf+6CEzrBnzx4dgP7SSy/puh6rk9/v15966inznq1bt+oA9PXr1/dVMXvNgAED9AceeKDg6rdv3z79qKOO0hsaGvTvfe97poJTCPW88cYb9WOPPTbtZ4VQP13X9euuu04/+eSTM35eqOPOlVdeqR955JF6NBotiHd5xhln6D/96U8Trp1zzjn67NmzdV139z1yi8oBQqEQNm3ahJqaGvOax+NBTU0N1q9f34clE8POnTvR1NSUUN/+/fujqqpK6fq2trYCAAYOHAgA2LRpE8LhcEI9x40bhxEjRihZz0gkghUrVqC9vR3V1dUFV78rrrgCZ5xxRkJ9gMJ5j9u3b0dlZSXGjBmD2bNnY9euXQAKp37PPfccpk6divPOOw9DhgzBcccdh/vvv9/8vBDHnVAohMceeww//elPoWlaQbzLk046CWvXrsWHH34IAHj77bfxyiuv4PTTTwfg7ns8KJNtOs1XX32FSCSCoUOHJlwfOnQoPvjggz4qlTiampoAIG19jc9UIxqN4qqrrsK3v/1tHHPMMQBi9SwqKkJ5eXnCvarV891330V1dTU6OzvRr18/PPPMM5gwYQI2b95cEPUDgBUrVuDNN9/E66+/nvJZIbzHqqoqPPLIIzj66KPR2NiIRYsW4Tvf+Q62bNlSEPUDgI8//hi/+93vUF9fj+uvvx6vv/46fvazn6GoqAgXXnhhQY47zz77LFpaWnDRRRcBKAxZnT9/Ptra2jBu3Dh4vV5EIhHccsstmD17NgB35w8qOIQgtvrfsmULXnnllb4uiuMcffTR2Lx5M1pbW/HnP/8ZF154IV566aW+LpZjfPbZZ7jyyivR0NCA4uLivi6OEIzVLwBMmjQJVVVVGDlyJP70pz+hpKSkD0vmHNFoFFOnTsWtt94KADjuuOOwZcsWLF++HBdeeGEfl04MDz74IE4//XRUVlb2dVEc409/+hMef/xxPPHEE/jmN7+JzZs346qrrkJlZaXr75FbVA4waNAgeL3eFE/35uZmVFRU9FGpxGHUqVDqW1dXh5UrV+LFF1/EEUccYV6vqKhAKBRCS0tLwv2q1bOoqAhjx47FlClTsHTpUhx77LG45557CqZ+mzZtwp49e3D88cfD5/PB5/PhpZdewr333gufz4ehQ4cWRD2tlJeX4xvf+AZ27NhRMO9x2LBhmDBhQsK18ePHm1txhTbufPrpp/jHP/6BSy65xLxWCO/yF7/4BebPn49Zs2Zh4sSJ+I//+A9cffXVWLp0KQB33yMVHAcoKirClClTsHbtWvNaNBrF2rVrUV1d3YclE8Po0aNRUVGRUN+2tjZs2LBBqfrquo66ujo888wzeOGFFzB69OiEz6dMmQK/359Qz23btmHXrl1K1TOZaDSKYDBYMPWbNm0a3n33XWzevNn8N3XqVMyePdv8/0Kop5X9+/fjo48+wrBhwwrmPX77299OCdPw4YcfYuTIkQAKZ9wxePjhhzFkyBCcccYZ5rVCeJcdHR3weBJVC6/Xi2g0CsDl9+ioy/JBzIoVK/RAIKA/8sgj+vvvv6/PmzdPLy8v15uamvq6aD1i3759+ltvvaW/9dZbOgD9rrvu0t966y39008/1XU9dsyvvLxc/8tf/qK/8847+plnnqnccc3LLrtM79+/v75u3bqEY5sdHR3mPZdeeqk+YsQI/YUXXtDfeOMNvbq6Wq+uru7DUufH/Pnz9ZdeeknfuXOn/s477+jz58/XNU3T16xZo+u6+vXLhPUUla6rX89rrrlGX7dunb5z5079n//8p15TU6MPGjRI37Nnj67r6tdP12NH/H0+n37LLbfo27dv1x9//HG9tLRUf+yxx8x7CmHc0fXYKdsRI0bo1113Xcpnqr/LCy+8UD/88MPNY+JPP/20PmjQIP3aa68173HrPVLBcZD77rtPHzFihF5UVKSfcMIJ+muvvdbXReoxL774og4g5d+FF16o63rsqN8NN9ygDx06VA8EAvq0adP0bdu29W2h8yRd/QDoDz/8sHnPgQMH9Msvv1wfMGCAXlpaqp999tl6Y2Nj3xU6T37605/qI0eO1IuKivTBgwfr06ZNM5UbXVe/fplIVnBUr+f555+vDxs2TC8qKtIPP/xw/fzzz0+ID6N6/Qz++te/6sccc4weCAT0cePG6b///e8TPi+EcUfXdf3555/XAaQtu+rvsq2tTb/yyiv1ESNG6MXFxfqYMWP0//qv/9KDwaB5j1vvUdN1S3hBQgghhJACgD44hBBCCCk4qOAQQgghpOCggkMIIYSQgoMKDiGEEEIKDio4hBBCCCk4qOAQQgghpOCggkMIIYSQgoMKDiGEEEIKDio4hBBCCCk4qOAQQgghpOCggkMIIYSQgoMKDiGEEEIKjv8PZWnoR7HedhYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import signal as sig\n",
    "\n",
    "num_symbols = 10\n",
    "sps = 8\n",
    "\n",
    "bits = np.random.randint(0,2, num_symbols)\n",
    "\n",
    "x = np.array([])\n",
    "for bit in bits:\n",
    "    pulse = np.zeros(sps)\n",
    "    pulse[0] = bit*2-1\n",
    "    x = np.hstack((x, pulse))\n",
    "\n",
    "plt.figure(0)\n",
    "plt.plot(x, '.-')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "# Create our raised-cosine filter\n",
    "num_taps = 101\n",
    "beta = 0.35\n",
    "Ts = sps # Assume sample rate is 1 Hz, so sample period is 1, so *symbol* period is 8\n",
    "t = np.arange(num_taps) - (num_taps-1)//2\n",
    "h = 1/Ts*np.sinc(t/Ts) * np.cos(np.pi*beta*t/Ts) / (1 - (2*beta*t/Ts)**2)\n",
    "plt.figure(1)\n",
    "plt.plot(t, h, '.-')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "# Filter our signal, in order to apply the pulse shaping\n",
    "x_shaped = np.convolve(x, h)\n",
    "plt.figure(2)\n",
    "plt.plot(x_shaped, '.-')\n",
    "for i in range(num_symbols):\n",
    "    plt.plot([i*sps+num_taps//2,i*sps+num_taps//2], [0, x_shaped[i*sps+num_taps//2]])\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.4"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
